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Simplifying (x + 2.9) + -1(0.1x + 4) = 15 Reorder the terms: (2.9 + x) + -1(0.1x + 4) = 15 Remove parenthesis around (2.9 + x) 2.9 + x + -1(0.1x + 4) = 15 Reorder the terms: 2.9 + x + -1(4 + 0.1x) = 15 2.9 + x + (4 * -1 + 0.1x * -1) = 15 2.9 + x + (-4 + -0.1x) = 15 Reorder the terms: 2.9 + -4 + x + -0.1x = 15 Combine like terms: 2.9 + -4 = -1.1 -1.1 + x + -0.1x = 15 Combine like terms: x + -0.1x = 0.9x -1.1 + 0.9x = 15 Solving -1.1 + 0.9x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1' to each side of the equation. -1.1 + 1.1 + 0.9x = 15 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 0.9x = 15 + 1.1 0.9x = 15 + 1.1 Combine like terms: 15 + 1.1 = 16.1 0.9x = 16.1 Divide each side by '0.9'. x = 17.88888889 Simplifying x = 17.88888889
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